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Mirzajani, Saeed. (1404). Control of fractional-order chaotic systems under perturbations. سامانه مدیریت نشریات علمی, 13(3), 1037-1046. doi: 10.22034/cmde.2025.59973.2556
Saeed Mirzajani. "Control of fractional-order chaotic systems under perturbations". سامانه مدیریت نشریات علمی, 13, 3, 1404, 1037-1046. doi: 10.22034/cmde.2025.59973.2556
Mirzajani, Saeed. (1404). 'Control of fractional-order chaotic systems under perturbations', سامانه مدیریت نشریات علمی, 13(3), pp. 1037-1046. doi: 10.22034/cmde.2025.59973.2556
Mirzajani, Saeed. Control of fractional-order chaotic systems under perturbations. سامانه مدیریت نشریات علمی, 1404; 13(3): 1037-1046. doi: 10.22034/cmde.2025.59973.2556

Control of fractional-order chaotic systems under perturbations

Computational Methods for Differential Equations
مقاله 22، دوره 13، شماره 3، مهر 2025، صفحه 1037-1046    اصل مقاله (660.42 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.59973.2556
نویسنده
Saeed Mirzajani*
Department of Basic Sciences, Technical and Vocational University (TVU), Tehran, Iran.
چکیده
In this paper, an appropriate fractional-integer integral sliding mode method for the control of fractional-order chaotic systems with perturbations such as uncertainties and external disturbances is addressed. When the upper bound of the perturbations is determined, a sliding mode controller is presented. Also, when the upper bound of the perturbations is unknown, an adaptive sliding mode control is designed. Analysis of the stability of the sliding mode surface is presented using the Lyapunov stability theory. Eventually, the results were carried out for the control of the complex fractional order chaotic T system.
کلیدواژه‌ها
Fractional-order system؛ Chaotic system؛ Sliding mode control؛ Perturbation
مراجع
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